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Finding the Fourth Proportional to 37,879.52, 56,814.82 and 11,584.49

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Solution

The fourth proportional to 37,879.52, 56,814.82 and 11,584.49 is: 17,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,879.52 : 56,814.82 = 11,584.49 : x
  2. Step 2: Convert to fraction form
    37,879.52/56,814.82 = 11,584.49/x
  3. Step 3: Cross multiply
    37,879.52x = 56,814.82 × 11,584.49
  4. Step 4: Simplify right side
    37,879.52x = 658,170,401.11
  5. Step 5: Solve for x
    x = 658,170,401.11/37,879.52
  6. Step 6: Final answer
    x = 17,375.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.